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Finding the Third Proportional to 11,588.06 and 17,396.44

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Solution

The third proportional to 11,588.06 and 17,396.44 is: 26,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.06 : 17,396.44 = 17,396.44 : x
  2. Step 2: Convert to fraction form
    11,588.06/17,396.44 = 17,396.44/x
  3. Step 3: Cross multiply
    11,588.06x = 17,396.44 × 17,396.44
  4. Step 4: Simplify right side
    11,588.06x = 302,636,037.69
  5. Step 5: Solve for x
    x = 302,636,037.69/11,588.06
  6. Step 6: Final answer
    x = 26,116.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.